Represent recurring decimal number on number line. — lesson. Mathematics State Board, Class 9.

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Suppose we want to locate the number

$5.6$

$\bar{34}$ on the number line up to five decimal places.

That is, we have to represent

$5.6343434...$ on the following number line.

But it is as asked to represent up to

$5$ decimal places. Thus, we need to locate until

$5.63434$ .

Let us consider the number line.

Now we will follow the procedure 'Process of successive magnification' to locate the number

$5.63434$ .

Step 1: The range of the number

$5.63434$ is

$5$ and

$6$ .

Step 2: Look for the range of the number on the number line and magnify that range (

$5-6$ ) alone. That is, divide the portion into

$10$ parts.

Step 3: Now let us look for the number with the first decimal point on the number line and find the range of that. That is,

$5.6 -5.7$

Step 4: Again magnify the range and divide the portion into

$10$ parts. Now look for the number with two decimal point on the number line. That is

$5.63-5.64$ .

Step 5: Again magnify the range and divide the portion into

$10$ parts. Now look for the number with three decimal point on the number line

$5.634 - 5.645$ . Repeating the process of successive magnification, we need to magnify further

$5.6343 - 5.6344$ . In this magnification, we can locate

$5.63434$ .

Thus, we located the number

$5.63434$ on the number line by the process of successive magnification.

Did you find an error?

3. Represent recurring decimal number on number line.